[seqfan] Re: Related to Collatz

Neil Sloane njasloane at gmail.com
Tue Feb 16 17:16:37 CET 2016


It's now A268962

Still interesting even if not a perm

Could use a b-file, say 10K or 20K terms

Graph looks like it will be interesting too

Best regards
Neil

Neil J. A. Sloane, President, OEIS Foundation.
11 South Adelaide Avenue, Highland Park, NJ 08904, USA.
Also Visiting Scientist, Math. Dept., Rutgers University, Piscataway, NJ.
Phone: 732 828 6098; home page: http://NeilSloane.com
Email: njasloane at gmail.com


On Tue, Feb 16, 2016 at 10:32 AM, Hans Havermann <gladhobo at teksavvy.com>
wrote:

> > a(1) = 1, a(2) = 2
> > a(n + 1) = floor[sqrt(a(n))], if not already in the sequence
> > otherwise, a(n + 1) = a(n) + a(n - 1)
> ...
> > The biggest question is if it's an integer permutation.
>
> a(1274) = 39, a(1275) = 1627; floor(sqrt(1627)) = 40 = a(709), already in
> the sequence, so a(1276) = 39 + 1627 = 1666. But a(708) = 1666 also, so the
> sequence will not be an integer permutation.
>
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